21112111121112 has 192 divisors, whose sum is σ = 63314765804160. Its totient is φ = 6301418112000.

The previous prime is 21112111121089. The next prime is 21112111121137.

21112111121112 is a `hidden beast` number, since 211 + 121 + 111 + 211 + 12 = 666.

21112111121112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658030623 + ... + 658062705.

It is an arithmetic number, because the mean of its divisors is an integer number (329764405230).

Almost surely, 2^{21112111121112} is an apocalyptic number.

21112111121112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112111121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31657382902080).

21112111121112 is an abundant number, since it is smaller than the sum of its proper divisors (42202654683048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21112111121112 is a wasteful number, since it uses less digits than its factorization.

21112111121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44574 (or 44567 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 2111211 and 1121112, that added together give a palindrome (3232323).

The spelling of 21112111121112 in words is "twenty-one trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twelve".